The application of perturbation theories for exchange forces to a simple model
β Scribed by S.T. Epstein; R.E. Johnson
- Publisher
- Elsevier Science
- Year
- 1968
- Tongue
- English
- Weight
- 222 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0009-2614
No coin nor oath required. For personal study only.
β¦ Synopsis
Several recently proposed perturbation theories of intermolecular forces including exchange are appiied to an e.xactly soluble spin model.
zntuodmtion
In the recent literature'
[l-6] there have been many methods proposed for obtaining a useful perturbation theory of intermolecular forces including exchange. In this note we report the results of applying several of these methods to a simple soiuble model.,
The model
For two non-interactim spins in a magnetic
We have applied the following theories to the (symmetric) ground stat? :>f 'this model: Hirschfelder and Silbey (HS) **, A_ Van der Avoird [2] (AV) ***, L. Jansen [4] (L.J.)t, Musher and Amos [5] (MA) t-i, Murrell and Shaw [S] (MS)?'??, the polarization approximation (Pal.
π SIMILAR VOLUMES
The exchange energy between two atoms has been expressed in terms of a flux integral over a localized wavefunction by Holstein and Herring. By approximating this wavefunction to first order in polarization perturbation theory (Rayleigh-Schrijdinger theory) it is possible to calculate the exchange en
A small change is made in the de!ta-function model so as to give it more of the characteristics of Hz. The EL -HAV approximation ia then tested on this model.
An analytical expression for the characteristic line intensity of the x-rays emitted by a probe when bombarded by an electron beam is obtained using the Pontriaguin method. This method is applied to a simple model which is brieΓy described.